Question

a chessboard contains 64 equal squares and the area of each square is 625cm^2. A border around the board is 2 cm wide. find the length of a side and area of the chessboard.

( I will mark brainiest if correct with steps)

Answer 1

Answer:

Step-by-step explanation: The area of each square is 625 sq. cm

Therefore, side = 25cm

Now, as the width is 2 cm

So, boarder length is 27 cm

But no of square box is 8

so the length is (25×8) + 4 = 204 cm

HENCE, the length of chessboard is 204cm

and the area is square of 204 = 41616 sq. cm

Answer 2

Step-by-step explanation:

Since, the area of each square is 625 cm².

⇒ Area of 64 equal squares = 64 * 625

                                               = 40000 cm².

Length of the chess-board without boarder

= √40000

=  200.

Length of the chessboard including border = 200 + 2 * 2 = 204 cm.

Area of the chessboard = 204² = 41616 cm².

Therefore:

Length of a chessboard = 204 cm.

Area of the chessboard = 41616 cm².

Hope it helps!